The CG-BFGS method for unconstrained optimization problems
In this paper we present a new search direction known as the CG-BFGS method, which uses the search direction of the conjugate gradient method approach in the quasi-Newton methods. The new algorithm is compared with the quasi-Newton methods in terms of the number of iterations and CPU-time. The Broyd...
| Main Authors: | Ibrahim, Mohd Asrul Hery, Mamat, Mustafa, Leong, Wah June, Mohammad Sofi, Azfi Zaidi |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/36856/ http://psasir.upm.edu.my/id/eprint/36856/1/The%20CG-BFGS%20method%20for%20unconstrained%20optimization%20problems.pdf |
Similar Items
The hybrid BFGS-CG method in solving unconstrained optimization problems
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
The algorithms of Broyden-CG for unconstrained optimization problems
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
BFGS method: a new search direction
by: Mohd. Asrul Hery Ibrahim,, et al.
Published: (2014)
by: Mohd. Asrul Hery Ibrahim,, et al.
Published: (2014)
BFGS method: a new search direction
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014)
Scaled memoryless BFGS preconditioned steepest descent method for very large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)
by: Leong, Wah June, et al.
Published: (2009)
A class of diagonally preconditioned limited memory BFGS method for large scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)
by: Leong, Wah June, et al.
Published: (2009)
New BFGS method for unconstrained optimization problem based on modified Armijo line search
by: Wan, Zhong, et al.
Published: (2012)
by: Wan, Zhong, et al.
Published: (2012)
A class of diagonal preconditioners for limited memory BFGS method.
by: Leong, Wah June, et al.
Published: (2013)
by: Leong, Wah June, et al.
Published: (2013)
Modified Quasi-Newton Methods For Large-Scale Unconstrained Optimization
by: Leong, Wah June
Published: (2003)
by: Leong, Wah June
Published: (2003)
Efficient ODE-based methods for unconstrained optimization
by: Yap, Chui Ying, et al.
Published: (2018)
by: Yap, Chui Ying, et al.
Published: (2018)
Convergence and stability of line search methods for unconstrained optimization.
by: Leong, Wah June, et al.
Published: (2013)
by: Leong, Wah June, et al.
Published: (2013)
Scaled diagonal gradient-type method with extra update for large-scale unconstrained optimization
by: Farid, Mahboubeh, et al.
Published: (2013)
by: Farid, Mahboubeh, et al.
Published: (2013)
Structured symmetric rank-one method for unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2011)
by: Modarres, Farzin, et al.
Published: (2011)
A scaled three-term conjugate gradient method for unconstrained optimization
by: Arzuka, Ibrahim, et al.
Published: (2016)
by: Arzuka, Ibrahim, et al.
Published: (2016)
Gradient method with multiple damping for large-scale unconstrained optimization
by: Sim, Hong Seng, et al.
Published: (2019)
by: Sim, Hong Seng, et al.
Published: (2019)
Scaled memoryless symmetric rank one method for large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2008)
by: Leong, Wah June, et al.
Published: (2008)
Preconditioning on subspace quasi-Newton method for large scale unconstrained optimization
by: Sim, Hong Seng, et al.
Published: (2013)
by: Sim, Hong Seng, et al.
Published: (2013)
A new diagonal gradient-type method for large scale unconstrained optimization
by: Farid, Mahboubeh, et al.
Published: (2013)
by: Farid, Mahboubeh, et al.
Published: (2013)
Quasi-Newton methods based on ordinary differential equation approach for unconstrained nonlinear optimization
by: Khiyabani, Farzin Modarres, et al.
Published: (2014)
by: Khiyabani, Farzin Modarres, et al.
Published: (2014)
A three-term conjugate gradient method with nonmonotone line search for unconstrained optimization
by: Moyi, Aliyu Usman, et al.
Published: (2016)
by: Moyi, Aliyu Usman, et al.
Published: (2016)
Positive-definite memoryless symmetric rank one method for large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2011)
by: Leong, Wah June, et al.
Published: (2011)
Memoryless modified symmetric rank-one method for large-scale unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2009)
by: Modarres, Farzin, et al.
Published: (2009)
A monotone gradient method via weak secant equation for unconstrained optimization
by: Leong, Wah June, et al.
Published: (2010)
by: Leong, Wah June, et al.
Published: (2010)
A Switching Criterion in Hybrid Quasi-Newton
BFGS - Steepest Descent Direction
by: Abu Hassan, Malik, et al.
Published: (1999)
by: Abu Hassan, Malik, et al.
Published: (1999)
Convergence and Stability of Line Search Methods for Unconstrained Optimization
by: Leong, Wah, et al.
Published: (2013)
by: Leong, Wah, et al.
Published: (2013)
Diagonal preconditioned conjugate gradient algorithm for unconstrained optimization
by: Ng, Choong Boon, et al.
Published: (2014)
by: Ng, Choong Boon, et al.
Published: (2014)
A new two-step gradient-type method for large-scale unconstrained optimization
by: Farid, Mahboubeh, et al.
Published: (2010)
by: Farid, Mahboubeh, et al.
Published: (2010)
A symmetric rank-one method based on extra updating techniques for unconstrained optimization.
by: Modarres, Farzin, et al.
Published: (2011)
by: Modarres, Farzin, et al.
Published: (2011)
A restarting approach on symmetric rank one update for unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)
by: Leong, Wah June, et al.
Published: (2009)
On the Modifications of a Broyden's Single Parameter Rank-Two Quasi-Newton Method for Unconstrained Minimization
by: Leong, Wah June
Published: (1999)
by: Leong, Wah June
Published: (1999)
Memoryless quasi-Newton-type methods via some weak secant relations for large-scale unconstrained optimization
by: Lim, Keat Hee, et al.
Published: (2024)
by: Lim, Keat Hee, et al.
Published: (2024)
Multi-steps symmetric rank-one update for unconstrained optimization
by: Modarres, Farzin, et al.
Published: (2009)
by: Modarres, Farzin, et al.
Published: (2009)
Memoryless symmetric rank-one method based on modified secant equation for large-scale unconstrained optimization
by: Khiyabani, Farzin Modarres, et al.
Published: (2009)
by: Khiyabani, Farzin Modarres, et al.
Published: (2009)
Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization
by: Hong, Seng Sim, et al.
Published: (2018)
by: Hong, Seng Sim, et al.
Published: (2018)
Nonmonotone spectral gradient method based on memoryless symmetric rank-one update for large-scale unconstrained optimization
by: Hong, Seng Sim, et al.
Published: (2021)
by: Hong, Seng Sim, et al.
Published: (2021)
Robustness of convergence proofs in numerical methods in unconstrained optimization
by: Goh, B., et al.
Published: (2014)
by: Goh, B., et al.
Published: (2014)
Gradient-Type Methods for Unconstrained Optimization
by: Guan, Hui Shan
Published: (2015)
by: Guan, Hui Shan
Published: (2015)
A new modified conjugate gradient method under the strong Wolfe line search for solving unconstrained optimization problems
by: Ishak, M. I., et al.
Published: (2022)
by: Ishak, M. I., et al.
Published: (2022)
A nonsmooth optimization method for clustering problem
by: Shabanzadeh, Parvaneh, et al.
Published: (2009)
by: Shabanzadeh, Parvaneh, et al.
Published: (2009)
Globalization of Barzilai and Borwein Method for Unconstrained Optimization
by: Farid, Mahboubeh
Published: (2009)
by: Farid, Mahboubeh
Published: (2009)
Similar Items
-
The hybrid BFGS-CG method in solving unconstrained optimization problems
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014) -
The algorithms of Broyden-CG for unconstrained optimization problems
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014) -
BFGS method: a new search direction
by: Mohd. Asrul Hery Ibrahim,, et al.
Published: (2014) -
BFGS method: a new search direction
by: Ibrahim, Mohd Asrul Hery, et al.
Published: (2014) -
Scaled memoryless BFGS preconditioned steepest descent method for very large-scale unconstrained optimization
by: Leong, Wah June, et al.
Published: (2009)